Where you start talking about strategy, I'm not sure whether you mean for voters or for those who decide who should run for office. I see that later on, you make clear that you are talking about it for voters.
I am not sure that voting strategy for Approval has been so well studied as to merit advising voters as to what strategy they should use.
This much is known: approving everyone you like never hurts.
Now I will get into my own opinion, not necessarily shared by the other participants in this forum. Suppose there is a candidate who is not among your top favorites but you like her a little bit better than you like Hitler, who is also running, and moreover, you feel that your favorite candidates are not popular with the other voters. Should you approve that compromise candidate? I think you should choose at random. My reasoning is that if many voters do that, that candidate will receive a partial level of support from those voters, not full support.
You misspell "criterion" as ending with "m".
For what it may be worth, here is some argumentation in favor of switching from Choose-one Plurality Voting to Approval Voting that I sent to someone. I don't know whether you will judge that it will help in your purposes of communication to use ideas from it, take it verbatim, or neither.
A voter should be the one to determine which candidates her or his vote supports and opposes. Your committees claimed to be addressing the reasons that the general public has no power in the voting booth, but they ignored the elephant in the room, which is the non-respect of this right. In an N-candidate election for a single seat or office, voters who want to oppose fewer than N - 1 are told to lump it. They are denied the right to cast a vote that reflects their political judgment. But other voters, the ones who want to support exactly one candidate and oppose the rest, get to cast the vote that reflects their judgment. So the system denies the voters equality of influence, one voter to another. This creates a Prisoner's Dilemma that gives people the false impression that they have an incentive to support a "lesser evil" that has money support or fame. The false impression becomes a self-fulfilling prophecy. The false impression commands mindshare via the effects of the Prisoner's Dilemma (PD). It is described over and over again as "realistic" and "math". This can all be defeated by providing equality in the voting booth, one voter to another, which should be provided anyway because it is a right in a representative republic. Even for someone who doesn't grasp how the PD distorts people's mentalities and social interactions, the question should remain relevant, of what grounds there are to tell someone what vote to cast instead of leaving it to the voter. What grounds are there to accept some voters' votes the way they want to cast them, but tell others, no, you can't vote the way you feel or judge. You have to choose from options that don't correspond to your political stance. This is not more moral than excluding some voters because of their color. It's a different rule of discrimination, but it is still an immoral form of discrimination.
Another point in favor of Approval is the standard set down by a majority opinion of the Supreme Court of the US in Wesberry vs. Sanders, 1964. The "weight and worth of the citizens' votes as nearly as is practicable must be the same." So Choose-one Plurality is unconstitutional in the US.